AB, CD are two parallel lines and a transversal I intersects AB at X and CD atY. Prove that the bisectors of the interior angles form a parallelogram, with all its angles rightangles i.e., it is a rectangle.

AB, CD are two parallel lines and a transversal I intersects AB at X and CD at
Y. Prove that the bisectors of the interior angles form a parallelogram, with all its angles right
angles i.e., it is a rectangle.

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